Semiconductor quantum kinetic equations with charge correlations and memory effects

Summary form only given. Correlation effects influencing the optical properties of semiconductors that cannot be described at the basis of Hartree-Fock approximation are intensively studied at the present time. Equations of motion methods, the Green´s function formalism or the cumulant expansion method with fluctuation-dissipation theorem are successfully used to explain distinctive features of optical spectra of semiconductors. In spite of the fact that all these different theories deal with just the same problem, the physical mechanisms and results obtained by using these theoretical methods are various in detail drastically. Especially it concerns the coherently driven plasmons in high excited semiconductors. Our aim is to derive the equations of motion which contain the results of another theories and allow to include into considerations multi-quantum optical processes involving photon and several mixed phonon-plasmons. We get the semiconductor Bloch equations using the fluctuation-dissipation theorem to calculate four operator expectation values with account of coherent memory effects.